Approach for Creating Reference Signals for Detecting Defects in Diagnosing of Composite Materials

摘要

The article describes the approach to the formation of a simulation model of information signals, which are typical for objects with different types of defects. The dispersive analysis of the signal spectrum components in the bases of the discrete Hartley transform and the discrete cosine transform is carried out. The analysis of the form of the reconstructed information signal is carried out depending on the number of coefficients of the spectral alignment in Hartley bases and cosine functions. The basis of orthogonal functions of a discrete argument is obtained, which can be used for the spectral transformation of information signals of a flaw detector. A function was obtained approximating the distribution of the values of each of the coefficients of the spectral decomposition depending on the degree of damage (defectiveness) of the sample under study. It proved the need to use splines in the approximation of equations. The advantage of the splines is obtaining reliable results even for small degrees of interpolation equations, moreover, the Runge phenomenon does not arise, which occurs when using high-order polynomial interpolation.